suppose that for some function g(x 3)=2x 1 find g(-1)

Answer:

We can use the concept of proportion to estimate the total number of sweets in the jar.

Let's represent the total number of sweets in the jar by "x". We know that 90 of these are pear drops. So the proportion of pear drops in the jar is 90/x.

Leona takes a random sample of 70 sweets from the jar and finds that 22 of these are pear drops. So the proportion of pear drops in the sample is 22/70.

We can assume that the proportion of pear drops in the sample is roughly equal to the proportion of pear drops in the jar. Therefore, we can set up a proportion and solve for "x":

90/x = 22/70

Cross-multiplying, we get:

22x = 90 * 70

Dividing both sides by 22, we get:

x = 90 * 70 / 22

Using a calculator, we get:

x ≈ 287

Therefore, an estimate for the total number of sweets in the jar is 287, rounded to the nearest integer.

Answer:

We can use the concept of proportion to estimate the total number of sweets in the jar.

Let's represent the total number of sweets in the jar by "x". We know that 90 of these are pear drops. So the proportion of pear drops in the jar is 90/x.

Leona takes a random sample of 70 sweets from the jar and finds that 22 of these are pear drops. So the proportion of pear drops in the sample is 22/70.

We can assume that the proportion of pear drops in the sample is roughly equal to the proportion of pear drops in the jar. Therefore, we can set up a proportion and solve for "x":

90/x = 22/70

Cross-multiplying, we get:

22x = 90 * 70

Dividing both sides by 22, we get:

x = 90 * 70 / 22

Using a calculator, we get:

x ≈ 287

Therefore, an estimate for the total number of sweets in the jar is 287, rounded to the nearest integer.

Step-by-step explanation:

Statistics computed for larger random samples tend to be less variable compared to statistics computed for smaller random samples.

This statement is based on the concept of the Central Limit Theorem (CLT) in statistics. According to the CLT, as the sample size increases, the distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution. This means that the variability of the sample mean decreases as the sample size increases.

The variability of a statistic is commonly measured by its standard deviation or variance. When working with larger random samples, the individual observations have less impact on the overall variability of the statistic. As more data points are included in the sample, the effects of outliers or extreme values tend to diminish, resulting in a more stable and less variable estimate.

In practical terms, this implies that estimates or conclusions based on larger random samples are generally considered more reliable and accurate. Researchers and statisticians often strive to obtain larger sample sizes to reduce the variability of their results and increase the precision of their statistical inferences.

Learn more about random samples here:

brainly.com/question/14397009

#SPJ11

The value of t such that the area under the curve between 1 and 11 equals 0.95, assuming the degrees of freedom is 8, is 1.86.

Degree of freedom refers to the number of independent variables that can be varied in a statistical experiment or analysis. It is a measure of the flexibility of the experiment or analysis to accommodate new data or observations.

In this case, the degrees of freedom is 8. To find the t-value, the t-table must be consulted. The t-table is a chart of t-values for different degrees of freedom. The t-value is the value at which the area under the curve between 1 and 11 equals 0.95. The t-table is organized such that the rows represent the degrees of freedom and the columns represent the area under the curve. For example, if the degrees of freedom is 8 and the area under the curve is 0.95, the t-value can be found in the row for 8 degrees of freedom and the column for 0.95 area under the curve. The t-value from the t-table in this case is 1.86.

Therefore, the value of t such that the area under the curve between 1 and 11 equals 0.95, assuming the degrees of freedom is 8, is 1.86.

For more questions related to area

https://brainly.com/question/21735282

#SPJ1

The value of t such that the area under the curve between 1 and 11 equals 0.95, assuming the degrees of freedom is 8, is 1.86.

Degrees of freedom refer to the number of independent variables that can be varied in a statistical experiment or analysis. It is a measure of experimental or analytical flexibility to accommodate new data or observations.

In this case there are 8 degrees of freedom. To find the t value, we need to refer to the t table. A t-table is a plot of t-values ​​for different degrees of freedom. The t-value is the value at which the area under the curve between 1 and 11 is 0.95. The t-table is organized so that rows represent the degrees of freedom and columns represent the area under the curve. For example, if you have 8 degrees of freedom and the area under the curve is 0.95, find the t-value in the row with 8 degrees of freedom and the column with area under the curve of 0.95. In this case, the t-value in the t-table is 1.86.

Therefore, the value of t is such that the area under the curve between 1 and 11 is 0.95, assuming 8 degrees of freedom is 1.86.

The area between -t and t = 0.95

P(t₈ > t) = P(t₈ - t)

= 0.025

As t - distⁿ is symmetrical and are under the curve is 1 and degree of freedom is 8.

Hence, from t - table; the t - value = 2.306

i.e. P(t₈ > 2.306) = 0.025

or P(-2.306 < t₈ < 2.306) = 0.95

To know more about t-value, visit:

https://brainly.com/question/29198495

#SPJ1

The complete question is as follows:

Answer:

4.05

Step-by-step explanation:

1.25+2+0.8

3.25+0.8

4.05

Answer:

4.05

Step-by-step explanation:

did the math

Answer:

428 square ft

Step-by-step explanation:

to do this you can break the shape up into multiple pieces

you can do it this way

the top left part of the polygon could be one shape

9 by 10

this is because if the left side is 23 and part of the left side is 13 the leftover part is 10

then the bottom is 13 by 26

then you multiply and add them together

(9 * 10) + (13 * 26) = 90 + 338

then you add

90 + 338 = 428

the answer is 428 square ft

Answer:

Hello!!

If Heather wants to put ribbon around the perimeter of her bulletin board and the board measures \(1\frac{3}{4}\) feet tall and \(2\frac{1}{2}\) feet wide. The length of the entire perimeter is \(4\frac{1}{4}\).

Step-by-step explanation:

\(1\frac{3}{4}\) + \(2\frac{1}{2}\) =  \(4\frac{1}{4}\)

Hope this helps!!

To find the centroid for the quarter circle using polar coordinates, we need to first determine the equations for the centroid coordinates (r,θ).

The formula for the centroid coordinates are:
r = (1/A) ∫∫ r^2 sin(θ) dr dθ
θ = (1/A) ∫∫ 0.5r^2 cos(θ) dr dθ
where A is the area of the lamina, which is given as π/4 in this problem.
For the quarter circle, we know that the radius (r) ranges from 0 to R (where R is the radius of the circle) and the angle (θ) ranges from 0 to π/2. Therefore, we can rewrite the integrals as follows:
r = (1/π/4) ∫0^(π/2) ∫0^R r^2 sin(θ) dr dθ
θ = (1/π/4) ∫0^(π/2) ∫0^R 0.5r^2 cos(θ) dr dθ
Simplifying these integrals and solving for r and θ, we get:
r = (4/πR^4) ∫0^(π/2) (1-cos^3(θ)) dθ
θ = (2/πR^4) ∫0^(π/2) (1-cos^2(θ)) sin(θ) dθ
Evaluating these integrals, we get:
r = (8R/9π)
θ = (4R/3π)
Therefore, the centroid coordinates (r,θ) for the quarter circle are:
r = (8R/9π)
θ = (4R/3π)
Note that these coordinates are relative to the origin of the polar coordinate system. To find the absolute centroid coordinates, we need to add the coordinates of the center of the circle to these values.

To know more about centroid visit:

https://brainly.com/question/29756750

#SPJ11

It appears that the pair of students experienced an unexpected outcome in their coin toss experiment, resulting in a majority of albino children (10 out of 16). This could have occurred due to reasons such as random variation, bias, sample size, or genetics of parents.

The occurrence of a majority of albino children from a pair of students' coin tosses may be due to chance or random variation. The probability of getting a specific outcome from a coin toss is 50/50, which means that getting a majority of heads or tails is possible but not guaranteed. One possible explanation for this occurrence is that the students' coin tosses were not truly random. There may have been some bias in their method or in the coin itself, which could have influenced the outcome.

Another possibility is that the sample size was too small to accurately reflect the expected outcome. With only 16 coin tosses, it is possible to get a result that is different from the expected outcome purely by chance. It is also important to consider that albino traits are inherited genetically, and the chance of having albino children may be influenced by the genetics of the parents. If the pair of students had unknowingly selected coins that were biased towards one side, it may have resulted in a majority of albino children due to chance or genetic factors.

Overall, the occurrence of a majority of albino children from a pair of students' coin tosses may be due to various factors such as chance, bias, sample size, or genetic factors. Further investigation and replication of the experiment may be necessary to determine the underlying cause of the deviation from the expected outcome.

Know more about genetic factors here:

https://brainly.com/question/26497428

#SPJ11

The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

Learn more about square roots at:

https://brainly.com/question/428672

#SPJ1

Two samples are independent if the sample values from one population are not related to or somehow naturally paired or matched with the sample values from the other population.

When we talk about the independence of two samples, it means that the observations in one sample are not influenced or dependent on the observations in the other sample. In other words, the two samples are unrelated and there is no natural pairing or matching of the sample values between the populations.

For example, let's say we have two groups of students: Group A and Group B. We want to compare their test scores. If the students in Group A and Group B are randomly selected without any relation or matching between them, we consider the two samples to be independent. Each student's score in Group A is not influenced by or paired with any specific student's score in Group B.

On the other hand, if we had a situation where the samples are naturally paired or matched, such as in a before-and-after study or a case-control study, then the samples would be considered matched pairs. In matched pairs, the observations in one sample are directly related to or paired with the observations in the other sample. Therefore, when the samples are not naturally paired or matched, and there is no inherent relationship between the sample values of one population and the other, we classify them as independent samples.

To learn more about independent samples click here:

brainly.com/question/29308977

#SPJ11

Answer:

a is not a function because it has the x-value/ input of 2 twice

b is a function because it has no multiples of x-values /inputs

Step-by-step explanation:

Answer:

a) {(2, 1), (1, 2), (3, 2), (4, 3), (2, 4)} is a function, because no two ordered pairs have the same first element.

b) {(4, 4), (-2, -2), (-1, -1), (10, 4)} is a function, because no two ordered pairs have the same first element.

hope it helps :)

mark brainliest!!

The cost of one pen is $3.5 and one ruler is $2

Represent pen with x, and rulers with y.

So, the equations are:

To solve for x and y, we start by multiplying the second equation by 2

\(2(2x + 7y = 21)\)

\(4x + 14y = 42\)

Subtract \(4x + 5y = 24\) from \(4x + 14y = 42\)

\(4x - 4x + 14y - 5y = 42 - 24\)

Simplify the expression

\(9y = 18\)

Divide both sides by 9

\(y = 2\)

Substitute 2 for y in \(2x + 7y = 21\)

\(2x + 7(2) = 21\)

This gives

\(2x + 14 = 21\)

Collect like terms

\(2x = 21 -14\)

Evaluate like terms

\(2x = 7\)

Divide both sides by 2

\(x = 3.5\)

Hence, the cost of one pen is $3.5 and one ruler is $2

Read more about system of equations at:

https://brainly.com/question/14323743

There are 495 different samples of size 8 that can be selected from a population size of 12.

In mathematics, a combination is a way of selecting objects from a larger set, where the order of selection does not matter. The combination formula is used to calculate the number of combinations that can be made from a set. The formula is:

nCr = n!/r!(n-r)!

Where n is the size of the population and r is the size of the sample. In this case, we have a population of size 12 and we want to select a sample of size 8. Using the combination formula, we get:

The number of different samples of size 8 that can be selected from a population of size 12 is calculated using the combination formula.

Substituting n=12 and r=8, we get

12C8 = 12!/8!(12-8)!.

Simplifying this expression gives us 495, which is the number of different samples size 8 that can be selected from a population of size 12.

This means that there are 495 different ways of selecting a group of 8 objects from a larger set of 12 objects, where the order of selection does not matter.

Know more about the combination

https://brainly.com/question/28065038

#SPJ11

Question

Rowena can paint a room in 14 hours, while Ruby can paint it in 6 hours. If Rowena paints for x hours and Ruby paints for y hours, they will finish half of the painting, while if Rowena paints for y hours and Ruby paints for x hours they will paint the whole room. Find the ordered pair (x,y)

Answer:

(x, y) = (231/40, 21/40)

where x = 231/40

y = 21/40

Step-by-step explanation:

From the question, we are told:

Rowena can paint a room in = 14 hours

Ruby can paint it in = 6 hours.

This means

In one hour.

Rowena can paint = 1/14 of the room

Ruby can paint =1/6 hour of the room

From the question, we are told that :

If Rowena paints for x hours and Ruby paints for y hours, they will finish half of the painting

This is represented mathematically as:

(1/14)(x) + ( 1/6)(y) = 1/2...... Equation 1

Also we were told that:

if Rowena paints for y hours and Ruby paints for x hours they will paint the whole room

(1/14)(y) + (1/6)(x) = 1 .......... Equation 2

Bringing the two equations together, we have:

(1/14)(x) + ( 1/6)(y) = 1/2 ....... Equation 1

(1/14)(y) + (1/6)(x) = 1 ............ Equation 2

We find the Lowest common multiple of the numerator 14 and 6 = 42. Hence, we multiply both equations through by 42

3x + 7y = 21 ....... Equation 3

7x + 3y = 42 ......... Equation 4

To solve for x and y in Equation 3 and 4 we would be using the Elimination method

21x + 49y = 147 .......... Equation 5

21x +9y = 126 ........... Equation 6

21x + 49y = 147 .......... Equation 5

-(21x +9y = 126) ........... Equation 6

40y = 21

y = 21/40

To get the value of x , we would substitute 21/40 for y in Equation 3

3x + 7y = 21 ....... Equation 3

3x + 7(21/40) = 21

3x + 147/40 = 21

3x = 21 - 147/40

3x = 693/40

x = (693/40) ÷ 3

x = 693/40 × 1/3

x = 693/120

x = 231/40

Therefore, (x, y) = (231/40, 21/40)

Answer:

the answer is A-  B/3 or B divided by 3

Step-by-step explanation:

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

The original figure is formed by the points:

To first make a reflection in the x-axis, we must follow the rule:

So, let's use this transformation with each point:

Finally, we're asked to transform these previous points using a reflection in the y-axis. To do this we must use the following rule:

So, using this rule for the points already reflected in the x-axis:

Finally, plot these points:

Answer:

14+ 8n<40

Hope this helps

Answer:

.15¢

Step-by-step explanation:

1.20$ total divided by 8 and its .15¢

Answer:

g(x)=-4x²+6

Step-by-step explanation:

Subtract 5 from -4x²+6.

-4x²+6-5=-4x²+1

g(x)=-4x²+6

Hope this helps!

Please mark as brainliest if correct!

Answer: Incomplete question

Step-by-step explanation: The question does not provide a diagram, and that makes it difficult to determine which side is labelled as B. Nevertheless I will give you clues to help you answer your question by explaining  this topic which is SIMILAR TRIANGLES.

When you have been given two triangles with a scale factor, the scale factor is an important part of answering the question eventually.

Consider a triangle which I shall call triangle 1, with sides abc and another triangle ABC, which I shall call triangle 2. The scale factor is 8, which means triangle 1 can be enlarged into a similar triangle by simply multiplying any corresponding side by 8. Hence, if in triangle abc, you have a side that measures 8 centimetres, the corresponding side in triangle ABC would be 8 times 8 which equals 64 centimetres.

The question states that side A corresponds with a side measuring length 2 centimetres. That means side A is derived as 2 times 8 which equals 16 centimetres, as explained above (and as shown in the question). Therefore side B which is yet unknown shall also be the corresponding side in triangle 1 multiplied by 8.

Since the corresponding side was not stated, I shall assume for the sake of explanation that the corresponding side is 10 centimetres. That means, side B would now be derived as 10 times 8 which equals 80 centimetres.

These can be expressed mathematically as follows;

If A = 16, a = 2 and b = 10 then B would be calculated as follows;

A/a = B/b

16/2 = B/10

By cross multiplication, you now have

16 * 10 = 2 * B

160/2 = B

80 = B

Following these steps along with the explanations, the length of side B can be derived if the value of its corresponding side is given or a diagram is provided.

Answer:

its 40 because the dude above is an but face (sorry) (not sorry u suk)

Step-by-step explanation:

welcum

Therefore, the apparent nth term of the expression is: aⁿ = 5n² - 3n - 2.

The given sequence is not an arithmetic or geometric sequence. However, we can notice that the sequence of differences between consecutive terms is an arithmetic sequence.

The sequence of differences is: 7, 19, 37, 61,...

To find the nth term of this sequence, we can use the formula for the nth term of an arithmetic sequence:

dn = a1 + (n-1) * d

where dn is the nth term of the sequence of differences, a1 is the first term of the sequence of differences, d is the common difference of the sequence of differences, and n is the index of the term we want to find.

So, we have:

dn = 7 + (n-1) * 12

Simplifying this expression, we get:

dn = 5n - 3

Now, we can use this formula to find the nth term of the original sequence. Let's call the nth term an:

an = an-1 + dn-1

where an-1 is the (n-1)th term of the original sequence and dn-1 is the (n-1)th term of the sequence of differences.

We know that a1 = 2 and d1 = 7, so we can use the above formula to find the next terms:

a2 = a1 + d1 = 2 + 7 = 9

a3 = a2 + d2 = 9 + 19 = 28

a4 = a3 + d3 = 28 + 37 = 65

a5 = a4 + d4 = 65 + 61 = 126

Therefore, the apparent nth term of the sequence is: aⁿ = 5n² - 3n - 2.

To know more about expression,

https://brainly.com/question/1859113

#SPJ11

Answer:

r=\(\frac{3t}{t-1}\)

Step-by-step explanation:

t(r-3)=r

tr-3t=r

tr-r=3t

r(t-1)=3t

r=\(\frac{3t}{t-1}\)

345.989554676 to 1 decimal place is 346.0

Decimals numbers are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.

Example of decimal numbers are as follows;

12.4, 18. 9455, 56.7999, 6.7789, 9.067 etc.

When you round to the one decimal place, or to the nearest tenth, the number in the hundredth point place will determine whether you round up or down.

If the hundredths digit or second decimal number is a number between 5 and 9, round up to the nearest whole number. If it's a number between 0 and 4, you would "round down" by keeping the tenths place the same.

Therefore,

345.989554676 to 1 decimal place is 346.0

learn more on decimal here:https://brainly.com/question/50455

#SPJ1

The value of x in the given diagram of intersecting chords is determined as 19.44.

The value of x in the given diagram is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

So from the diagram we will have;

9x - 5 = 170

9x = 175

x = 175 / 9

x = 19.44

Learn more about chord angles here: brainly.com/question/23732231

#SPJ1

Answer:

There is no error, Amad is correct.

Step-by-step explanation:

Khan Academy Checked.

Amad had done no error. His conclusion is true.

Two triangles are said to be congruent if their sides are equal in length, the angles are of equal measure, and they can be superimposed on each other.

For example,

In the figure given above, Δ ABC and Δ PQR are congruent triangles. This means that the corresponding angles and corresponding sides in both the triangles are equal.

Sides: AB = PQ, BC = QR and AC = PR;

Angles: ∠A = ∠P, ∠B = ∠Q, and ∠C = ∠R.

Therefore, Δ ABC ≅ Δ PQR

The following are the congruence theorems or the triangle congruence criteria that help to prove the congruence of triangles.

As, from the given cases the prediction of congruency of two triangles is correct. There is no error he made.

Hence, Amad had not made any error.

Learn more about congruency here:

https://brainly.com/question/14011665

#SPJ2

Answer:

Step-by-step explanation:

To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.

So,

3.9 m² = 3.9 × (100 cm / 1 m)²

3.9 m² = 3.9 × 10,000 cm²

3.9 m² = 39,000 cm²

Therefore, 3.9 square meters is equal to 39,000 square centimeters.

Answer:

The answer would be A.

Step-by-step explanation:

There are two possible outcomes of flipping a head on a coin. So it will be 1/2. So when you flip two coins to get head it will be  1/2*1/2=1/4.

Answer:

No

Step-by-step explanation:

By the Factor theorem

If (x - h) is a factor of f(x) then f(h) = 0

Here (x - 2) with h = 2 and

f(x) = x³ - 3x² - x + 7 , then

f(2) = 2³ - 3(2)² - 2 + 7 = 8 - 3(4) + 5 = 8 - 12 + 5 = 1

Since f(2) ≠ 0 then (x - 2) is not a factor of f(x)

Answer:

It's 15

Step-by-step explanation:

(5x+12) (6x+3)=180

5x+6x+12+3=180

11x+15=180

11x=180-15

11x=165

x=165/11

x=15

hope this helps :)